Finite Group Databasebeta

← Prev (#26012450) Next (#26012452) →

M16×#10621924 #26012451

order11072
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4

Aliases

direct productM16×#10621924

Splittings

FittingM16×C173 ⋊ C4
SylowC173 ⋊ C4×M16

Subgroups

subgroupG/H
center, FrattiniC4C22×#10621924
commutator, socleC2×C173C2×C42
FittingM16×C173C4
prime radicalC22×D173C2×C4
cosocleC4×D173C23
hypercenterM16#10621924
hypocenterC173C4×M16
LCSG ▷ C2×C173 ▷ C173
UCSC1 ◁ C4 ◁ M16

142 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

470 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#100×#10621924, #101×#10621924, #104×#10621924, …
maximal normal subgroup of#100×#10621924, #101×#10621924, #104×#10621924, …
maximal quotient ofM16×#13063443, #36368761, #36368764, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11072, 1509);